Question

40 worker can finish a piece of work in 26 days how many worker will be needed to finish it in 16 days

Answer 1

the answer to your question is 65
hope it helps you.......

answer to next question is 100 days

Answer 2

Question -:

40 workers can finish a piece of work in 26 days. How many workers will be needed to finish it in 16 days ?

Explanation -:

$\small\begin{array}{|c|c|}\end{array} \small \sf{No. \: of \: workers ↑} \: \: \: \: \: \: \: \: \: \: \: \: \: {No. \: of \: days ↓} \\ \small \bf{(inverse \: variation)}$

No of men required to finish the work in 26 days = 40

No. of men required to finish the work in 1 day = 40 × 26

No. of men required to finish the work in 16 days=

$➩ \large\frac{40 \times 26}{16}$

$➩ \: \large \frac{1040}{16} = \small{65}$

Hence, 65 workers can finish a piece of work in 16 days.

$\rule{65mm}{2pt}$

Additional Information -:

Direct variation:

• When two variables are related to each other that an increase/ decrease in the first causes an increase/ decrease in the second, then the two variables are said to vary direct variation.
• No of men ↑ work done ↑

Inverse variation:

• When two variables are related to each other that an increase/decrease in the first causes a decrease/ increase in the second,then two variables are said to vary inverse variation.
• No of men ↑ No of days ↓

$\rule{70mm}{4pt}$